Speeding up column generation for robust wireless network planning

Speeding up column generation for robust wireless network planning
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加速列生成以实现稳健的无线网络规划

DOI:
10.1007/s13675-013-0013-0
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发表时间:
2013
影响因子:
2.4
通讯作者:
A. Schmeink
A. Schmeink
中科院分区:
--
文献类型:
--
作者:
G. Claßen;A.M.C.A. Koster;A. Schmeink

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无线网络规划问题包括基站布局和业务节点到基站的分配。为了将交通需求的不确定性,我们遵循Bertsimas和Sim的鲁棒性方法。在本文中,我们开发了一个分支和价格算法,目的是提高解决方案的过程中,改善的对偶界。代替将各个业务节点分配给基站,业务节点的子集被分配给基站,这意味着定价问题本质上是一个鲁棒背包。由于一个简单的实现并没有得到令人满意的结果,我们提出的技术,我们适用于主问题以及定价问题,以提高性能。我们调查这些技术在广泛的计算研究的有效性。
The wireless network planning problem consists of base station placement and traffic node assignment to base stations. To incorporate traffic demand uncertainties, we follow the-robustness approach by Bertsimas and Sim. In this paper, we develop a branch-and-price algorithm, with the aim to enhance the solution process and improve the dual bounds. Instead of assigning individual traffic nodes to base stations, subsets of traffic nodes are assigned to a base station, implying that the pricing problem essentially is a robust knapsack. Since a straightforward implementation does not give satisfactory results, we present techniques, which we apply to the master problem as well as to the pricing problems, to improve the performance. We investigate the effectiveness of these techniques in an extensive computational study.
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